This work reveals the potential of mechanics of structure genome (MSG) for the free-edge stress analysis of composite laminates. First, the cross-sectional analysis specialized from MSG is formulated for solving a generalized free-edge problem of composite laminates. Then, MSG and the companion code SwiftComp™ are applied to the free-edge stress analysis of several composite laminates with arbitrary layups and general loads including extension, torsion, in-plane and out-of-plane bending, and their combinations. The results of MSG are compared with various existing solutions for symmetric angle-ply laminates. New results are presented for the free-edge stress fields in general laminates for combined mechanical loads and compared with three-dimensional (3D) finite element analysis (FEA) results, which agree very well.
Issue Section:
Research Papers
References
1.
Pipes
, R. B.
, and Pagano
, N.
, 1974
, “Interlaminar Stresses in Composite Laminates—An Approximate Elasticity Solution
,” ASME J. Appl. Mech.
, 41
(3
), pp. 668
–672
.2.
Chan
, W.
, and Ochoa
, O.
, 1987
, “An Integrated Finite Element Model of Edge-Delamination Analysis for Laminates due to Tension, Bending, and Torsion Loads
,” 28th AIAA/ASME/AHS Structures, Structural Dynamics, and Material Conference
, Monterey, CA, Apr. 6–8, AIAA
Paper No. 1987-0704.3.
Mittelstedt
, C.
, and Becker
, W.
, 2007
, “Free-Edge Effects in Composite Laminates
,” ASME Appl. Mech. Rev.
, 60
(5
), pp. 217
–245
.4.
Kant
, T.
, and Swaminathan
, K.
, 2000
, “Estimation of Transverse/Interlaminar Stresses in Laminated Composites—A Selective Review and Survey of Current Developments
,” Compos. Struct.
, 49
(1
), pp. 65
–75
.5.
Pipes
, R. B.
, and Pagano
, N.
, 1970
, “Interlaminar Stresses in Composite Laminates Under Uniform Axial Extension
,” J. Compos. Mater.
, 4
(4
), pp. 538
–548
.6.
Wang
, A.
, and Crossman
, F. W.
, 1977
, “Some New Results on Edge Effect in Symmetric Composite Laminates
,” J. Compos. Mater.
, 11
(1
), pp. 92
–106
.7.
Wang
, S.
, and Yuan
, F.-G.
, 1983
, “A Singular Hybrid Finite Element Analysis of Boundary-Layer Stresses in Composite Laminates
,” Int. J. Solids Struct.
, 19
(9
), pp. 825
–837
.8.
Leknitskii
, S. G.
, and Fern
, P.
, 1963
, Theory of Elasticity of an Anisotropic Elastic Body
, Holden-Day
, San Francisco, CA
.9.
Pipes
, R. B.
, Goodsell
, J.
, Ritchey
, A.
, Dustin
, J.
, and Gosse
, J.
, 2010
, “Interlaminar Stresses in Composite Laminates: Thermoelastic Deformation
,” Compos. Sci. Technol.
, 70
(11
), pp. 1605
–1611
.10.
Goodsell
, J.
, Pagano
, N. J.
, Kravchenko
, O.
, and Pipes
, R. B.
, 2013
, “Interlaminar Stresses in Composite Laminates Subjected to Anticlastic Bending Deformation
,” ASME J. Appl. Mech.
, 80
(4
), p. 041020
.11.
Goodsell
, J.
, and Pipes
, R. B.
, 2016
, “Free-Edge Interlaminar Stresses in Angle-Ply Laminates: A Family of Analytic Solutions
,” ASME J. Appl. Mech.
, 83
(5
), p. 051010
.12.
Hsu
, P. W.
, and Herakovich
, C. T.
, 1977
, “Edge Effects in Angle-Ply Composite Laminates
,” J. Compos. Mater.
, 11
(4
), pp. 422
–428
.13.
Tang
, S.
, and Levy
, A.
, 1975
, “A Boundary Layer Theory—Part II: Extension of Laminated Finite Strip
,” J. Compos. Mater.
, 9
(1
), pp. 42
–52
.14.
Pagano
, N.
, 1974
, “On the Calculation of Interlaminar Normal Stress in Composite Laminate
,” J. Compos. Mater.
, 8
(1
), pp. 65
–81
.15.
Becker
, W.
, 1993
, “Closed-Form Solution for the Free-Edge Effect in Cross-Ply Laminates
,” Compos. Struct.
, 26
(1
), pp. 39
–45
.16.
Becker
, W.
, 1994
, “Closed-Form Analysis of the Free Edge Effect in Angle-Ply Laminates
,” ASME J. Appl. Mech.
, 61
(1
), pp. 209
–211
.17.
Murty
, A. K.
, and Kumar
, H. H.
, 1989
, “Modelling of Symmetric Laminates Under Extension
,” Compos. Struct.
, 11
(1
), pp. 15
–32
.18.
Tahani
, M.
, and Nosier
, A.
, 2003
, “Edge Effects of Uniformly Loaded Cross-Ply Composite Laminates
,” Mater. Des.
, 24
(8
), pp. 647
–658
.19.
Tahani
, M.
, and Nosier
, A.
, 2003
, “Free Edge Stress Analysis of General Cross-Ply Composite Laminates Under Extension and Thermal Loading
,” Compos. Struct.
, 60
(1
), pp. 91
–103
.20.
Nosier
, A.
, and Bahrami
, A.
, 2006
, “Free-Edge Stresses in Antisymmetric Angle-Ply Laminates in Extension and Torsion
,” Int. J. Solids Struct.
, 43
(22
), pp. 6800
–6816
.21.
Nosier
, A.
, and Bahrami
, A.
, 2007
, “Interlaminar Stresses in Antisymmetric Angle-Ply Laminates
,” Compos. Struct.
, 78
(1
), pp. 18
–33
.22.
Nosier
, A.
, and Maleki
, M.
, 2008
, “Free-Edge Stresses in General Composite Laminates
,” Int. J. Mech. Sci.
, 50
(10
), pp. 1435
–1447
.23.
Sarvestani
, H. Y.
, and Sarvestani
, M. Y.
, 2012
, “Free-Edge Stress Analysis of General Composite Laminates Under Extension, Torsion and Bending
,” Appl. Math. Modell.
, 36
(4
), pp. 1570
–1588
.24.
Kassapoglou
, C.
, and Lagace
, P.
, 1986
, “An Efficient Method for the Calculation of Interlaminar Stresses in Composite Materials
,” ASME J. Appl. Mech.
, 53
(4
), pp. 744
–750
.25.
Lin
, C.-C.
, Hsu
, C.-Y.
, and Ko
, C.-C.
, 1995
, “Interlaminar Stresses in General Laminates With Straight Free Edges
,” AIAA J.
, 33
(8
), pp. 1471
–1476
.26.
Yin
, W.-L.
, 1994
, “Free-Edge Effects in Anisotropic Laminates Under Extension, Bending and Twisting, Part I: A Stress-Function-Based Variational Approach
,” ASME J. Appl. Mech.
, 61
(2
), pp. 410
–415
.27.
Yin
, W.-L.
, 1994
, “Free-Edge Effects in Anisotropic Laminates Under Extension, Bending, and Twisting, Part II: Eigenfunction Analysis and the Results for Symmetric Laminates
,” ASME J. Appl. Mech.
, 61
(2
), pp. 416
–421
.28.
Kim
, T.
, and Atluri
, S. N.
, 1994
, “Interlaminar Stresses in Composite Laminates Under Out-of-Plane Shear/Bending
,” AIAA J.
, 32
(8
), pp. 1700
–1708
.29.
Kim
, T.
, and Atluri
, S.
, 1995
, “Analysis of Edge Stresses in Composite Laminates Under Combined Thermo-Mechanical Loading, Using a Complementary Energy Approach
,” Comput. Mech.
, 16
(2
), pp. 83
–97
.30.
Cho
, M.
, and Kim
, H. S.
, 2000
, “Iterative Free-Edge Stress Analysis of Composite Laminates Under Extension, Bending, Twisting and Thermal Loadings
,” Int. J. Solids Struct.
, 37
(3
), pp. 435
–459
.31.
Tahani
, M.
, and Andakhshideh
, A.
, 2012
, “Interlaminar Stresses in Thick Rectangular Laminated Plates With Arbitrary Laminations and Boundary Conditions Under Transverse Loads
,” Compos. Struct.
, 94
(5
), pp. 1793
–1804
.32.
Andakhshideh
, A.
, and Tahani
, M.
, 2013
, “Free-Edge Stress Analysis of General Rectangular Composite Laminates Under Bending, Torsion and Thermal Loads
,” Eur. J. Mech. - A/Solids
, 42
, pp. 229
–240
.33.
Dhanesh
, N.
, Kapuria
, S.
, and Achary
, G.
, 2016
, “Accurate Prediction of Three-Dimensional Free Edge Stress Field in Composite Laminates Using Mixed-Field Multiterm Extended Kantorovich Method
,” Acta Mech.
, epub.34.
Carrera
, E.
, 2002
, “Theories and Finite Elements for Multilayered, Anisotropic, Composite Plates and Shells
,” Arch. Comput. Methods Eng.
, 9
(2
), pp. 87
–140
.35.
D'Ottavio
, M.
, Vidal
, P.
, Valot
, E.
, and Polit
, O.
, 2013
, “Assessment of Plate Theories for Free-Edge Effects
,” Composites
, Part B, 48
, pp. 111
–121
.36.
Wenzel
, C.
, D'Ottavio
, M.
, Polit
, O.
, and Vidal
, P.
, 2015
, “Assessment of Free-Edge Singularities in Composite Laminates Using Higher-Order Plate Elements
,” Mech. Adv. Mater. Struct.
, 23
, pp. 1
–44
.37.
Vidal
, P.
, Gallimard
, L.
, and Polit
, O.
, 2015
, “Assessment of Variable Separation for Finite Element Modeling of Free Edge Effect for Composite Plates
,” Compos. Struct.
, 123
, pp. 19
–29
.38.
Esquej
, R.
, Castejon
, L.
, Lizaranzu
, M.
, Carrera
, M.
, Miravete
, A.
, and Miralbes
, R.
, 2013
, “A New Finite Element Approach Applied to the Free Edge Effect on Composite Materials
,” Compos. Struct.
, 98
, pp. 121
–129
.39.
Icardi
, U.
, and Bertetto
, A. M.
, 1995
, “An Evaluation of the Influence of Geometry and of Material Properties at Free Edges and at Corners of Composite Laminates
,” Comput. Struct.
, 57
(4
), pp. 555
–571
.40.
Nguyen
, V.-T.
, and Caron
, J.-F.
, 2009
, “Finite Element Analysis of Free-Edge Stresses in Composite Laminates Under Mechanical and Thermal Loading
,” Compos. Sci. Technol.
, 69
(1
), pp. 40
–49
.41.
Yu
, W.
, 2015
, “Structure Genome: Fill the Gap Between Materials Genome and Structural Analysis
,” 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Kissimmee, FL, Jan. 5–9, AIAA
Paper No. 2015-0201.42.
Yu
, W.
, 2016
, “A Unified Theory for Constitutive Modeling of Composites
,” J. Mech. Mater. Struct.
, 11
(4
), pp. 379
–411
.43.
Mittelstedt
, C.
, and Becker
, W.
, 2007
, “The Pipes–Pagano-Problem Revisited: Elastic Fields in Boundary Layers of Plane Laminated Specimens Under Combined Thermomechanical Load
,” Compos. Struct.
, 80
(3
), pp. 373
–395
.Copyright © 2016 by ASME
You do not currently have access to this content.
